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Finding the Fourth Proportional to 288,991.70, 433,487.55 and 102,022.10

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Solution

The fourth proportional to 288,991.70, 433,487.55 and 102,022.10 is: 153,033.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,991.70 : 433,487.55 = 102,022.10 : x
  2. Step 2: Convert to fraction form
    288,991.70/433,487.55 = 102,022.10/x
  3. Step 3: Cross multiply
    288,991.70x = 433,487.55 × 102,022.10
  4. Step 4: Simplify right side
    288,991.70x = 44,225,310,174.86
  5. Step 5: Solve for x
    x = 44,225,310,174.86/288,991.70
  6. Step 6: Final answer
    x = 153,033.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.